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Finding the Fourth Proportional to 13,462.45, 18,577.28 and 7,493.96

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Solution

The fourth proportional to 13,462.45, 18,577.28 and 7,493.96 is: 10,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.45 : 18,577.28 = 7,493.96 : x
  2. Step 2: Convert to fraction form
    13,462.45/18,577.28 = 7,493.96/x
  3. Step 3: Cross multiply
    13,462.45x = 18,577.28 × 7,493.96
  4. Step 4: Simplify right side
    13,462.45x = 139,217,458.41
  5. Step 5: Solve for x
    x = 139,217,458.41/13,462.45
  6. Step 6: Final answer
    x = 10,341.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.